4 papers
All groups are surjunctive
Jan Cannizzo
We prove that for any finitely generated group and any , the space of -colorings of does not admit a strict self-embedding. This settles the Gottschalk surjuncti…
Soficity for monoids, semigroups, and general dynamical systems
Jan Cannizzo
We examine several definitions of soficity for monoids obtained by generalizing various definitions of sofic groups. They are not all equivalent and include the definition recently…
On invariant Schreier structures
Jan Cannizzo
Schreier graphs, which possess both a graph structure and a Schreier structure (an edge-labeling by the generators of a group), are objects of fundamental importance in group theor…
The boundary action of a sofic random subgroup of the free group
Jan Cannizzo
We prove that the boundary action of a sofic random subgroup of a finitely generated free group is conservative. This addresses a question asked by Grigorchuk, Kaimanovich, and Nag…